m. matsuo, prc73(’06)044309
DESCRIPTION
Matter Calc. M. Matsuo, PRC73(’06)044309. Two-particle density. Experimental proof of di-neutron. Dipole Excitations. Response to the dipole field:. Smearing:. T. Nakamura et al., PRL96,252502(2006). Comparison with expt. data ( 11 Li). T. Aumann et al., PRC59, 1259(1999). - PowerPoint PPT PresentationTRANSCRIPT
Comparison with expt. data (11Li)
Epeak=0.66 MeVB(E1) = 1.31 e2fm2 (E < 3.3 MeV)
T. Nakamura et al., PRL96,252502(2006)
Epeak ~ 0.6 MeVB(E1) = (1.42 +/- 0.18) e2fm2 (E < 3.3 MeV)
T. Aumann et al., PRC59, 1259(1999)
Geometry of Borromean nuclei
11Li
6He
B(E1)
matter radius
(11Li)
(6He)
K.Hagino and H. S.,PRC76(’07)047302
“experimental” mean opening angle
C.A. Bertulani and M.S. Hussein, PRC76(’07)051602
12
11 e n
1
2e
2
Li9
11 Li three-body break-up cross sections
2n
K. Hagino, H.S.,T.Nakamura and S.Shimoura, PRC80,031301(R)(2009)
Double differential strength function for 11Li
full calculation(with FSI)
( without FSI)
(with FSI) No Vn-core
(No Vn-core
virtual s-state!virtual s-state!
Di-proton correlation in aproton-rich Borromean
nucleus 17Ne
Tomohiro OishiA,Kouichi HaginoA, Hiroyuki SagawaB
ATohoku Univ., BUniv. of Aizu
PRC82, 024315(2010)http://arxiv.org/abs/1007.0835
])(exp[1)(
1
4)()(),(
101
210
2
12121
aRr
vvrg
rr
ergrrrrVpp
2.2 Pairing interaction
Density-dependent contact interaction
Explicit Coulomb interaction
2
22
0 ,2
22
mE
kak
a
mv C
CnnC
nn
(fm) 5.18
, )2('
)1(
nn
Cljnnlj
a
E
We need cutoff:EC to determine v0 (pairing in vacuum).
Other parameters are fixed to obtain g.s.energy of 17Ne:-0.944 MeV.
2.3 Single-particle basis
smillm
lmsmsliljm
iljminljinljm
rYmjmmlr
rrRr
)ˆ(,|,21;,),ˆ(
, ),ˆ()()(
,
)()(1
)()(
)()()(
200 rVrf
dr
d
rsVrrfV
rVrVrV
Clmbls
ClmbWSpC
])(exp[1
1)(
CoreCore aRrrf
)( 4
1
)( 32
1
4
1)(
2
0
22
0
CoreC
CoreCoreCore
CClmb
Rrr
eZ
RrR
r
R
eZrV
Woods-Saxon + Coulomb potential for p-Core
3.1 Results (1)
(C)ppV excluding
, (fm) 81.7ppa
0.14 )(
)(
Npp
Cpp
V
V
2NNr
22 CNr
Core
22
2
2
C
C12
1-12
3
2A
AE1 , coscos CN
C reZ
B
Corer
2
221 CNrz
z
3.2 Results (2)
1222
1221 sin24),( rrrrr
1222122222
1/2221 sin , cos , ), ; z( rxrzxzrr CN
Ne17C16
“Di-proton correlation”
Summary IApplication of three-body model to Borromean nuclei
11Li
Di-neutron wave function for each R
Concentration of a Cooper pair on the nuclear surface Relation to BCS-BEC crossover phenomenon
E1 response and geometry of Borromean nuclei
n-n coincidence cross sections from 11Li* and 6He* importance of n-core interaction clear evidence of virtual s-state in n-9Li system correlation angle is determined experimentally.
strong pair correlations in di-neutrons
12
Di-neutron correlations in 11Li and 6He
K.Hagino and H. S., PRC72(’05) 044321.K.H.agino and H. S., PRC75(’07)021301(R).K.Hagino, H. S., J. Carbonell, and P. Schuck, PRL99(’07)022506.H. Esbensen, K.Hagino, P. Mueller, and H. S., PRC76(’07)024302.K.Hagino and H. S., PRC76(’07) 047302.
energy and angular n-n coincidence cross sections
Recent publications:Recent publications:Recent publications:Recent publications:
K.Hagino, H.S. ,T. Nakamura and S. Shimoura, PRC80,031301 (R)(2009).
Di-proton correlations in 17Ne
T.Oishi, K. Hagino and HS, PRC82,024315 (2010).
Strong di-proton correlations is found in 17NeTwo body Coulomb interaction decreases 13% of di-proton correlations.
Summary II
Spatial structure of neutron Cooper pair in infinite matter
M. Matsuo, PRC73(’06)044309
BCS
Crossover region